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Finding the Third Proportional to 2,726.16 and 4,088.29

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Solution

The third proportional to 2,726.16 and 4,088.29 is: 6,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.16 : 4,088.29 = 4,088.29 : x
  2. Step 2: Convert to fraction form
    2,726.16/4,088.29 = 4,088.29/x
  3. Step 3: Cross multiply
    2,726.16x = 4,088.29 × 4,088.29
  4. Step 4: Simplify right side
    2,726.16x = 16,714,075.52
  5. Step 5: Solve for x
    x = 16,714,075.52/2,726.16
  6. Step 6: Final answer
    x = 6,131.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.